10002120231024 has 120 divisors (see below), whose sum is σ = 28269728494592. Its totient is φ = 3300979651200.

The previous prime is 10002120231023. The next prime is 10002120231101. The reversal of 10002120231024 is 42013202120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002120230988 and 10002120231006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002120231023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73365129 + ... + 73501335.

Almost surely, 2^{10002120231024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002120231024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134864247296).

10002120231024 is an abundant number, since it is smaller than the sum of its proper divisors (18267608263568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002120231024 is a wasteful number, since it uses less digits than its factorization.

10002120231024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141275 (or 141266 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002120231024 its reverse (42013202120001), we get a palindrome (52015322351025).

The spelling of 10002120231024 in words is "ten trillion, two billion, one hundred twenty million, two hundred thirty-one thousand, twenty-four".